Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Multiplying and Dividing Fractions

Study concepts, example questions & explanations for Algebra II

Create An Account

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #5 : Division With Fractions

Evaluate: $\frac{7}{6}\div 2\frac{3}{8}$

Possible Answers:

$\frac{17}{41}$

$\frac{28}{57}$

$\frac{133}{48}$

$\frac{48}{133}$

$\frac{57}{28}$

Correct answer:

$\frac{28}{57}$

Explanation:

Change all the fractions to improper fractions.

$\frac{7}{6}\div 2\frac{3}{8}=\frac{7}{6}\div \frac{19}{8}$

Convert the division sign to a multiplication sign, but flip the second term. Simplify.

$\frac{7}{6}\times \frac{8}{19}= \frac{7}{3}\times \frac{4}{19}= \frac{28}{57}$

Report an Error

Example Question #6 : Division With Fractions

Divide and simplify:

$\frac{2}{11}\div \frac{9}{22}$ .

Possible Answers:

$\frac{4}{9}$

$\frac{2}{11}$

$\frac{11}{}9$

$\frac{18}{222}$

$\frac{1}{9}$

Correct answer:

$\frac{4}{9}$

Explanation:

Multiplying fractions is a two-step process. First, you must flip the second fraction (make it its reciprocal) and then set up the equation as a multiplication problem:

$\frac{2}{11}\cdot \frac{22}{}9$ .

Then, cross-reduce: 11 goes into both 11 and 22, so you can take that out so it looks like:

$\frac{2}{1}\cdot \frac{2}{9}$ .

Then, multiply straight across so that you get $\frac{4}{}9$ .

You can't simplify any further, so that's your answer!

Report an Error

Example Question #11 : Multiplying And Dividing Fractions

Multiply and simplify:

$\frac{6y^2}{14x^9}\cdot \frac{2x^3}{4y}$

Possible Answers:

$\frac{3y}{14x^6}$

$\frac{3y}{4x^6}$

$\frac{1}{14x^6}$

$\frac{3y}{x^6}$

$\frac{y}{14x^6}$

Correct answer:

$\frac{3y}{14x^6}$

Explanation:

Before multiplying straight across, I would start with some cross-reducing. Look diagonally and see what can be simplified.

Between 6y^2 and , you can take out a 2y.

Between 14x^9 and 2x^3 , you can take out a 2x^3 .

The simplified version looks like:

$\frac{3y}{7x^6}\cdot \frac{1}{2}=\frac{3y}{14x^6}$

Report an Error

Example Question #1 : Fractions

Multiply these fractions:

$\frac{7}{9}*\frac{1}{14}$

Possible Answers:

$\frac{1}{6}$

$\frac{1}{18}$

$\frac{2}{9}$

$\frac{1}{9}$

Correct answer:

$\frac{1}{18}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{7}{9}*\frac{1}{14}=\frac{7*1}{9*14}=\frac{7}{126}$

Simply the fraction to get the final answer:

$\frac{7}{126}\div \frac{7}{7}=\frac{1}{18}$

Report an Error

Example Question #11 : Multiplying And Dividing Fractions

Multiply these fractions:

$\frac{5}{12}*\frac{3}{7}$

Possible Answers:

$\frac{5}{27}$

$\frac{1}{4}$

$\frac{3}{14}$

$\frac{5}{28}$

Correct answer:

$\frac{5}{28}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{5}{12}*\frac{3}{7}=\frac{5*3}{12*7}=\frac{15}{84}$

Simply the fraction to get the final answer:

$\frac{15}{84}\div \frac{3}{3}=\frac{5}{28}$

Report an Error

Example Question #5 : Operations With Fractions

Multiply these fractions:

$\frac{2}{3}*\frac{5}{6}$

Possible Answers:

$\frac{2}{9}$

$\frac{7}{9}$

$\frac{4}{9}$

$\frac{5}{9}$

Correct answer:

$\frac{5}{9}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{2}{3}*\frac{5}{6}=\frac{2*5}{3*6}=\frac{10}{18}$

Simply the fraction to get the final answer:

$\frac{10}{18}\div \frac{2}{2}=\frac{5}{9}$

Report an Error

Example Question #6 : Operations With Fractions

Multiply these fractions:

$\frac{1}{2}*\frac{2}{3}$

Possible Answers:

$\frac{1}{3}$

$1\frac{1}{2}$

$1\frac{1}{3}$

$\frac{1}{6}$

Correct answer:

$\frac{1}{3}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{1}{2}*\frac{2}{3}=\frac{1*2}{2*3}=\frac{2}{6}$

Simply the fraction to get the final answer:

$\frac{2}{6}\div \frac{2}{2}=\frac{1}{3}$

Report an Error

Example Question #12 : Multiplying And Dividing Fractions

Multiply these fractions:

$\frac{5}{7}*\frac{1}{3}$

Possible Answers:

$\frac{1}{3}$

$\frac{4}{21}$

$\frac{5}{21}$

$\frac{6}{21}$

Correct answer:

$\frac{5}{21}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{5}{7}*\frac{1}{3}=\frac{5*1}{7*3}=\frac{5}{21}$

Report an Error

Example Question #11 : Multiplication With Fractions

Multiply these fractions:

$\frac{4}{9}*\frac{3}{7}$

Possible Answers:

$\frac{6}{21}$

$\frac{5}{21}$

$\frac{4}{21}$

$\frac{3}{21}$

Correct answer:

$\frac{4}{21}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{4}{9}*\frac{3}{7}=\frac{4*3}{9*7}=\frac{12}{63}$

Simply the fraction to get the final answer:

$\frac{12}{63}\div \frac{3}{3}=\frac{4}{21}$

Report an Error

Example Question #191 : Fractions

Multiply these fractions:

$\frac{1}{10}*\frac{2}{5}$

Possible Answers:

$\frac{3}{25}$

$\frac{1}{50}$

$\frac{2}{25}$

$\frac{1}{25}$

Correct answer:

$\frac{1}{25}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{1}{10}*\frac{2}{5}=\frac{1*2}{10*5}=\frac{2}{50}$

Simply the fraction to get the final answer:

$\frac{2}{50}\div \frac{2}{2}=\frac{1}{25}$

Report an Error

View Algebra 2 Tutors

Charles
Certified Tutor

Pacific Intercontinental College, Master's/Graduate, Mathematics.

View Algebra 2 Tutors

Nathan
Certified Tutor

California Polytechnic State University, San Luis Obispo, Bachelor, Electrical Engineering.

View Algebra 2 Tutors

Maggie
Certified Tutor

Kalamazoo College, Bachelor of Science, Computer Science.

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

English Tutors in Seattle, SAT Tutors in San Diego, SSAT Tutors in Philadelphia, SSAT Tutors in Miami, Statistics Tutors in San Diego, LSAT Tutors in Denver, ACT Tutors in Los Angeles, Math Tutors in Chicago, Math Tutors in San Francisco-Bay Area, GRE Tutors in Phoenix

Popular Courses & Classes

MCAT Courses & Classes in Miami, GRE Courses & Classes in Washington DC, LSAT Courses & Classes in Philadelphia, SAT Courses & Classes in Atlanta, Spanish Courses & Classes in New York City, LSAT Courses & Classes in Houston, SSAT Courses & Classes in Boston, GRE Courses & Classes in New York City, GRE Courses & Classes in San Diego, GRE Courses & Classes in Los Angeles

Popular Test Prep

GRE Test Prep in Los Angeles, GRE Test Prep in New York City, LSAT Test Prep in Houston, ACT Test Prep in Seattle, GRE Test Prep in Washington DC, GRE Test Prep in Miami, SAT Test Prep in Seattle, LSAT Test Prep in Phoenix, SSAT Test Prep in Phoenix, LSAT Test Prep in Dallas Fort Worth

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Algebra II : Multiplying and Dividing Fractions

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #5 : Division With Fractions

Example Question #6 : Division With Fractions

Example Question #11 : Multiplying And Dividing Fractions

Example Question #1 : Fractions

Example Question #11 : Multiplying And Dividing Fractions

Example Question #5 : Operations With Fractions

Example Question #6 : Operations With Fractions

Example Question #12 : Multiplying And Dividing Fractions

Example Question #11 : Multiplication With Fractions

Example Question #191 : Fractions

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: